{"status": "success", "data": {"description_md": "Let $a_n = (n - 1)! + n^2 - 2n + 1$ for $n \\geq 1$. Let $b_n$ be defined as the remainder when $a_n$ is divided by $n$. Compute $\\sum\\limits_{n = 1}^{7} b_{2n - 1}$.", "description_html": "<p>Let <span class=\"katex--inline\">a_n = (n - 1)! + n^2 - 2n + 1</span> for <span class=\"katex--inline\">n \\geq 1</span>. Let <span class=\"katex--inline\">b_n</span> be defined as the remainder when <span class=\"katex--inline\">a_n</span> is divided by <span class=\"katex--inline\">n</span>. Compute <span class=\"katex--inline\">\\sum\\limits_{n = 1}^{7} b_{2n - 1}</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "March Break 2024 - Problem 7", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}